10020002202101 has 2 divisors, whose sum is σ = 10020002202102. Its totient is φ = 10020002202100.

The previous prime is 10020002202043. The next prime is 10020002202139. The reversal of 10020002202101 is 10120220002001.

It is a happy number.

10020002202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8171079420100 + 1848922782001 = 2858510^2 + 1359751^2 .

It is an emirp because it is prime and its reverse (10120220002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10020002202101 - 2¹⁴ = 10020002185717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020002202191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010001101050 + 5010001101051.

It is an arithmetic number, because the mean of its divisors is an integer number (5010001101051).

Almost surely, 2^{10020002202101} is an apocalyptic number.

It is an amenable number.

10020002202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020002202101 is an equidigital number, since it uses as much as digits as its factorization.

10020002202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10020002202101 its reverse (10120220002001), we get a palindrome (20140222204102).

The spelling of 10020002202101 in words is "ten trillion, twenty billion, two million, two hundred two thousand, one hundred one".